A developer wants to know if the houses in two differentneighborhoods were built at roughly the same time. She takes arandom sample of six houses from each neighborhood and finds theirages from local records. The accompanying table shows the data foreach sample? (in years). Assume that the data come from adistribution that is Normally distributed.
Neighborhood 1: 50, 68, 65, 52, 53, 54
Neighborhood 2: 33, 32, 44, 38, 54, 51
?a) Find a 95?% confidence interval for the mean? difference ?1-?2?, in ages of houses in the two neighborhoods. (Round to twodecimal places as needed)
?b) Is 0 within the confidence? interval?
(Yes or No)
?c) What does the confidence interval suggest about the nullhypothesis that the mean difference is? 0?
A.Reject H0 since 0 is a plausible value for the true meandifference.
B. Fail to reject H0 since 0 is a plausible value for the truemean difference.
C.Reject H0 since 0 is not a plausible value for the true meandifference.
D.Fail to reject H0 since 0 is not a plausible value for thetrue mean difference.
